Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 974, 899, 140, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 899, 140, 180 is 1
GCD(974, 899, 140, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 899, 140, 180 is 1
GCD(974, 899, 140, 180) = 1
Given Input numbers are 974, 899, 140, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 974, 899, 140, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 899, 140, 180 is 1.
Therefore, GCD of numbers 974, 899, 140, 180 is 1
Given Input Data is 974, 899, 140, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 899 is 29 x 31
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(974, 899) = 875626
GCD(974, 899) = ( 974 x 899 ) / 875626
GCD(974, 899) = 875626 / 875626
GCD(974, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 974, 899, 140, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 899, 140, 180?
GCD of 974, 899, 140, 180 is 1
2. Where do I get the detailed procedure to find GCD of 974, 899, 140, 180?
You can find a detailed procedure to find GCD of 974, 899, 140, 180 on our page.
3. How to find GCD of 974, 899, 140, 180 on a calculator?
You can find the GCD of 974, 899, 140, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.